You drive 7.50 km in a straight line in a direction 25 degrees East of North. A)

Question

You drive 7.50 km in a straight line in a direction 25 degrees East of North. A) Find the distances you would have to drive straight East and then straight North to arrive at the same point. Show that you still arrive at the same point if the East and North legs are reversed in order. You drive 7.50 km in a straight line in a direction 25 degrees East of North. A) Find the distances you would have to drive straight East and then straight North to arrive at the same point. Show that you still arrive at the same point if the East and North legs are reversed in order.

Explanation / Answer

East = 7.5*Sin25 = 3.17 km

North = 7.5*Cos25 = 6.797 km

Resultant vector of any two vectors having directions and magnitude remains same. Hence final point remains the same if east and north legs are reversed.

East = 7.5*Cos25 = 6.797 km

North = 7.5*Sin25 = 3.17 km

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